Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
2401	Find the Derivative - d/dx	natural log of natural log of 6x	$\ln (\ln (6 x))$
2402	Find the Derivative - d/dx	natural log of cos(2x)	$\ln (\cos (2 x))$
2403	Find the Derivative - d/dx	(sin(x))^( natural log of x)	${(\sin (x))}^{\ln (x)}$
2404	Find the Derivative - d/dx	sin(tan(x))	$\sin (\tan (x))$
2405	Find the Derivative - d/dx	(x/3.3+3.3/x)(x^2+1)	$(\frac{x}{3.3} + \frac{3.3}{x}) (x^{2} + 1)$
2406	Find the Derivative - d/dx	y=x/3-3/x	$y = \frac{x}{3} - \frac{3}{x}$
2407	Find the Derivative - d/dx	x-3x^(1/3)	$x - 3 x^{\frac{1}{3}}$
2408	Find the Derivative - d/dx	9x^4	$9 x^{4}$
2409	Find dy/dx	y=( square root of x-9)/( square root of x+9)	$y = \frac{\sqrt{x} - 9}{\sqrt{x} + 9}$
2410	Find the Derivative - d/dx	f(x)=sec(x)tan(x)	$f (x) = \sec (x) \tan (x)$
2411	Find the Derivative - d/dx	f(x)=arctan(x)	$f (x) = \arctan (x)$
2412	Find the Derivative - d/dx	f(x)=8x	$f (x) = 8 x$
2413	Find the Derivative - d/dx	natural log of fifth root of x	$\ln (\sqrt[5]{x})$
2414	Find the Derivative - d/dx	g(x)=2(4-7x)^4	$g (x) = 2 {(4 - 7 x)}^{4}$
2415	Find the Derivative - d/dx	h(x)=(x-2)(2x+3)	$h (x) = (x - 2) (2 x + 3)$
2416	Find the Derivative - d/dx	cos(x)^8	$\cos^{8} (x)$
2417	Find the Derivative - d/dx	y=(x+3)^2e^(4x)	$y = {(x + 3)}^{2} e^{4 x}$
2418	Find the Derivative - d/dx	y=5/x	$y = \frac{5}{x}$
2419	Find the Derivative - d/dx	y=4/x	$y = \frac{4}{x}$
2420	Find the Derivative - d/dx	y=19^x	$y = 19^{x}$
2421	Find the Derivative - d/dx	y=(x^3)/3	$y = \frac{x^{3}}{3}$
2422	Find the Derivative - d/dx	y = square root of 1+8x	$y = \sqrt{1 + 8 x}$
2423	Find the Derivative - d/dx	y = square root of 5-9x	$y = \sqrt{5 - 9 x}$
2424	Find the Derivative - d/dx	y = cube root of 2x	$y = \sqrt[3]{2 x}$
2425	Find the Derivative - d/dx	sec(x)^4	$\sec^{4} (x)$
2426	Find the Derivative - d/dx	y=x/6-6/x	$y = \frac{x}{6} - \frac{6}{x}$
2427	Find the Derivative - d/dx	5cos(x)	$5 \cos (x)$
2428	Find the Derivative - d/dx	-x/y	$- \frac{x}{y}$
2429	Find the Derivative - d/dx	y=x^(4/9)	$y = x^{\frac{4}{9}}$
2430	Find the Derivative - d/dx	y=x^(5/3)-x^(2/3)	$y = x^{\frac{5}{3}} - x^{\frac{2}{3}}$
2431	Find the Derivative - d/dx	y=sin(tan(9x))	$y = \sin (\tan (9 x))$
2432	Find the Derivative - d/dx	y=x^12	$y = x^{12}$
2433	Find the Derivative - d/dx	y=x^2+4	$y = x^{2} + 4$
2434	Find the Derivative - d/dx	-4x^2	$- 4 x^{2}$
2435	Find the Derivative - d/dx	y=x^2sin(6x)	$y = x^{2} \sin (6 x)$
2436	Find the Derivative - d/dx	y=(5 square root of x)/6	$y = \frac{5 \sqrt{x}}{6}$
2437	Find the Derivative - d/dx	y=arcsin(6x+1)	$y = \arcsin (6 x + 1)$
2438	Find the Derivative - d/dx	y=sec(x)^2	$y = \sec^{2} (x)$
2439	Find the Derivative - d/dx	y=e^(7x^2)+x	$y = e^{7 x^{2}} + x$
2440	Find the Derivative - d/dx	y=e^(7x)	$y = e^{7 x}$
2441	Find the Derivative - d/dx	y=e^(-6x)	$y = e^{- 6 x}$
2442	Find the Derivative - d/dx	y=( natural log of x)/(x^4)	$y = \frac{\ln (x)}{x^{4}}$
2443	Find the Derivative - d/dx	y=(8x^3)/3-7x	$y = \frac{8 x^{3}}{3} - 7 x$
2444	Find the Derivative - d/dx	y=(5x-2)/(4x+3)	$y = \frac{5 x - 2}{4 x + 3}$
2445	Find the Derivative - d/dx	(5x)/(1+x^2)	$\frac{5 x}{1 + x^{2}}$
2446	Find the Derivative - d/dx	y=(x^2+x^3)^4	$y = {(x^{2} + x^{3})}^{4}$
2447	Find the Derivative - d/dx	y = natural log of x^2e^x	$y = \ln (x^{2} e^{x})$
2448	Find the Derivative - d/dx	y = natural log of 6x	$y = \ln (6 x)$
2449	Find the Derivative - d/dx	y = natural log of sec(x)+tan(x)	$y = \ln (\sec (x) + \tan (x))$
2450	Find the Derivative - d/dx	y = natural log of 8-3x	$y = \ln (8 - 3 x)$
2451	Find the Derivative - d/dx	3x+7	$3 x + 7$
2452	Find the Derivative - d/dx	y = natural log of natural log of x^2	$y = \ln (\ln (x^{2}))$
2453	Find the Derivative - d/dx	(4x^3+3x^2)/x	$\frac{4 x^{3} + 3 x^{2}}{x}$
2454	Find the Derivative - d/dx	y=cos(x^3)	$y = \cos (x^{3})$
2455	Find the Derivative - d/dx	y=x^2+2x	$y = x^{2} + 2 x$
2456	Find the Derivative - d/dx	y=3x^2-11x	$y = 3 x^{2} - 11 x$
2457	Find the Derivative - d/dx	y=2sin(x)	$y = 2 \sin (x)$
2458	Find the Derivative - d/dx	y=4sin(x)cos(x)	$y = 4 \sin (x) \cos (x)$
2459	Find the Derivative - d/dx	(2x-5)^4(x^2+x+1)^5	${(2 x - 5)}^{4} {(x^{2} + x + 1)}^{5}$
2460	Find the Derivative - d/dx	2xsin(x)	$2 x \sin (x)$
2461	Find the Derivative - d/dy	b(y)=cy^-6	$b (y) = c y^{- 6}$
2462	Find the Derivative - d/dy	y/x	$\frac{y}{x}$
2463	Find the Derivative - d/dy	3y	$3 y$
2464	Find the Derivative - d/dy	3y^2	$3 y^{2}$
2465	Find the Derivative - d/dx	y=tan(e^x)	$y = \tan (e^{x})$
2466	Find the Derivative - d/dx	y=x-1/90x^3	$y = x - \frac{1}{90} x^{3}$
2467	Find the Integral	6x	$6 x$
2468	Find the Integral	cot(x)	$\cot (x)$
2469	Find the Integral	sin(x)cos(x)	$\sin (x) \cos (x)$
2470	Find the Integral	x square root of x	$x \sqrt{x}$
2471	Find the Integral	x^5	$x^{5}$
2472	Find the Integral	xe^(2x)	$x e^{2 x}$
2473	Find the Integral	1/(y^2)	$\frac{1}{y^{2}}$
2474	Find the Integral	2^x	$2^{x}$
2475	Find the Integral	3/x	$\frac{3}{x}$
2476	Find the Derivative Using Product Rule - d/dx	(5x)/(2x^2)	$\frac{5 x}{2 x^{2}}$
2477	Find the Derivative Using Quotient Rule - d/dx	1/(x^3)	$\frac{1}{x^{3}}$
2478	Simplify	sin( square root of x)	$\sin (\sqrt{x})$
2479	Simplify	( square root of x+1/( cube root of x))^2	${(\sqrt{x} + \frac{1}{\sqrt[3]{x}})}^{2}$
2480	Find the Derivative - d/dt	2t^2+ square root of t^3	$2 t^{2} + \sqrt{t^{3}}$
2481	Find the Derivative - d/dt	t^2	$t^{2}$
2482	Find the Derivative - d/dF	F'(x)	$F' (x)$
2483	Find the Derivative - d/dr	r/( square root of r^2+1)	$\frac{r}{\sqrt{r^{2} + 1}}$
2484	Find the Derivative - d/da	tan( natural log of ax+b)	$\tan (\ln (a x + b))$
2485	Evaluate the Integral	integral of 1/(x^4) with respect to x	$\int \frac{1}{x^{4}} d x$
2486	Find the Derivative - d/d@VAR	f(x)=-2x^3	$f (x) = - 2 x^{3}$
2487	Find the Derivative - d/d@VAR	f(x)=\|x-2\|	$f (x) = \| x - 2 \|$
2488	Find the Derivative - d/d@VAR	f(x)=x^13	$f (x) = x^{13}$
2489	Evaluate the Limit	limit as x approaches 5 of (\|x-5\|)/(x-5)	$lim_{x \to 5} \frac{\| x - 5 \|}{x - 5}$
2490	Find the Derivative - d/d@VAR	f(x)=e^(3x^3+1) natural log of 2x^3+3	$f (x) = e^{3 x^{3} + 1} \ln (2 x^{3} + 3)$
2491	Find the Derivative - d/d@VAR	f(x)=12/x	$f (x) = \frac{12}{x}$
2492	Find the Derivative - d/d@VAR	f(x)=-3x^2+6x-8	$f (x) = - 3 x^{2} + 6 x - 8$
2493	Find the Derivative - d/dx	x^(4/5)(x-9)^2	$x^{\frac{4}{5}} {(x - 9)}^{2}$
2494	Find the Derivative - d/dx	10x^2	$10 x^{2}$
2495	Find the Derivative - d/dx	2^(x^2)	$2^{x^{2}}$
2496	Find the Derivative - d/dx	natural log of (x)^(1/3)	$\ln ({(x)}^{\frac{1}{3}})$
2497	Find the Derivative - d/dx	x^3-9x	$x^{3} - 9 x$
2498	Find the Derivative - d/dx	sin(2x)^2	$\sin^{2} (2 x)$
2499	Find the Derivative - d/dx	cot(sin(x))^2	$\cot^{2} (\sin (x))$
2500	Find the Derivative - d/dx	12x	$12 x$